Ulam-Hyers stability results for a novel nonlinear Nabla Caputo fractional variable-order difference system (Q5100214)

scientific article; zbMATH DE number 7577170

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English	Ulam-Hyers stability results for a novel nonlinear Nabla Caputo fractional variable-order difference system	scientific article; zbMATH DE number 7577170

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instance of

scholarly article

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title

Ulam-Hyers stability results for a novel nonlinear Nabla Caputo fractional variable-order difference system (English)

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29 August 2022

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zbMATH Keywords

nabla Caputo fractional difference equation

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variable-order

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existence

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Ulam-Hyers stability

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.3906/mat-2008-53

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cites work

Fractional difference operators with discrete generalized Mittag-Leffler kernels

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Different type kernel \(h\)-fractional differences and their fractional \(h\)-sums

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On delta and nabla Caputo fractional differences and dual identities

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Variable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations

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On the asymptotic stability of linear system of fractional-order difference equations

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On Mittag-Leffler Kernel-Dependent Fractional Operators with Variable Order

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Stability analysis of Caputo-like discrete fractional systems

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Krasnoselskii's fixed point theorem and stability

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Ulam‐Hyers stability of Caputo fractional difference equations

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Existence and uniqueness theorem of the solution to a class of nonlinear nabla fractional difference system with a time delay

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Gronwall's inequality for a nabla fractional difference system with a retarded argument and an application

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An existence theorem for a nonlinear difference equation

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Finite-time stability of a class of nonlinear fractional delay difference systems

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Existence of solutions for fractional difference equations via topological degree methods

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Existence of local solutions for fractional difference equations with Dirichlet boundary conditions

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Existence and rapid convergence results for nonlinear Caputo nabla fractional difference equations

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Uniqueness and novel finite-time stability of solutions for a class of nonlinear fractional delay difference systems

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Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses

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Existence and Hyers-Ulam stability of solutions for a mixed fractional-order nonlinear delay difference equation with parameters

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On the novel Ulam-Hyers stability for a class of nonlinear \(\psi\)-Hilfer fractional differential equation with time-varying delays

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Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions

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Hyers‐Ulam stability analysis to implicit Cauchy problem of fractional differential equations with impulsive conditions

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Investigating a Class of Nonlinear Fractional Differential Equations and Its Hyers-Ulam Stability by Means of Topological Degree Theory

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On the Ulam‐Hyers stabilities of the solutions of Ψ‐Hilfer fractional differential equation with abstract Volterra operator

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Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation

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Q3259049

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Ulam-Hyers stability of fractional Langevin equations

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Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution equations

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Asymptotic stability of \((q, h)\)-fractional difference equations

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Stability analysis of impulsive fractional difference equations

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Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse

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Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion

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Existence and attractivity of solutions for fractional difference equations

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published in

Turkish Journal of Mathematics

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Identifiers

zbMATH Open document ID

1506.39012

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5100214